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Finding the Fourth Proportional to 267.78, 369.29 and 232.79

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Solution

The fourth proportional to 267.78, 369.29 and 232.79 is: 321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.78 : 369.29 = 232.79 : x
  2. Step 2: Convert to fraction form
    267.78/369.29 = 232.79/x
  3. Step 3: Cross multiply
    267.78x = 369.29 × 232.79
  4. Step 4: Simplify right side
    267.78x = 85,964.01
  5. Step 5: Solve for x
    x = 85,964.01/267.78
  6. Step 6: Final answer
    x = 321.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.